-3z(2z-2)=2(-3)(z^2-2)-3(2)

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Solution for -3z(2z-2)=2(-3)(z^2-2)-3(2) equation: 


Simplifying
-3z(2z + -2) = 2(-3)(z2 + -2) + -3(2)

Reorder the terms:
-3z(-2 + 2z) = 2(-3)(z2 + -2) + -3(2)
(-2 * -3z + 2z * -3z) = 2(-3)(z2 + -2) + -3(2)
(6z + -6z2) = 2(-3)(z2 + -2) + -3(2)

Reorder the terms:
6z + -6z2 = 2 * -3(-2 + z2) + -3(2)

Multiply 2 * -3
6z + -6z2 = -6(-2 + z2) + -3(2)
6z + -6z2 = (-2 * -6 + z2 * -6) + -3(2)
6z + -6z2 = (12 + -6z2) + -3(2)

Multiply -3 * 2
6z + -6z2 = 12 + -6z2 + -6

Reorder the terms:
6z + -6z2 = 12 + -6 + -6z2

Combine like terms: 12 + -6 = 6
6z + -6z2 = 6 + -6z2

Add '6z2' to each side of the equation.
6z + -6z2 + 6z2 = 6 + -6z2 + 6z2

Combine like terms: -6z2 + 6z2 = 0
6z + 0 = 6 + -6z2 + 6z2
6z = 6 + -6z2 + 6z2

Combine like terms: -6z2 + 6z2 = 0
6z = 6 + 0
6z = 6

Solving
6z = 6

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Divide each side by '6'.
z = 1

Simplifying
z = 1

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